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Finding the Fourth Proportional to 406,595.68, 561,085.92 and 225,315.28

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Solution

The fourth proportional to 406,595.68, 561,085.92 and 225,315.28 is: 310,926.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,595.68 : 561,085.92 = 225,315.28 : x
  2. Step 2: Convert to fraction form
    406,595.68/561,085.92 = 225,315.28/x
  3. Step 3: Cross multiply
    406,595.68x = 561,085.92 × 225,315.28
  4. Step 4: Simplify right side
    406,595.68x = 126,421,231,168.86
  5. Step 5: Solve for x
    x = 126,421,231,168.86/406,595.68
  6. Step 6: Final answer
    x = 310,926.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.